The dynamic response spectra of fractionally damped viscoelastic beams subjected to concentrated moving load are presented. This work quantitatively emphasizes the need for fractional-order damping model in the dynamics of viscoelastic structures, by demonstrating the effect of various orders of fractional derivative damping in beams subjected to concentrated moving loads. The fractional-order Kelvin–Voigt model describes the rheological properties of the viscoelastic material. The Riemann–Liouville fractional derivative of order 0
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